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Relationship between circle are and radius squa0red is

A(Area) = pi r^2(radius squared).

pi is the constant of proportionality for ALL circles . It has a value of 3.141592.....

However for elementary school work , pi = 3.14

NB Remember to other relationship with circles for circumference.

C = 2 pi r = pi d

Learn and commit to memory ;-

A = pi r^2 & C = 2 pi r

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lenpollock

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โˆ™ 2023-03-17 12:02:54
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โˆ™ 2012-02-08 04:28:10

The area of a circle is defined by the equation A = πr^2

where π = pi (3.14...)

A = Area

r^2 = radius squared

So, the radius of a circle squared multiplied by pi equals the area.

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Q: What is the relationship between the area of a circle and its radius squared?
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What is the relationship between pi and circles?

'pi' is the constant of proportionality for ALL circles of whatever size. 'pi' has the values of 3.141592.... (to infinity). For school work pi = 3.14 For circle area A = pi r^2 circle circumference C = 2pi r = pi d Volume of a sphere V = (4/3) pi r^3 Surface Area of a sphere SA = 4 pi r^2 The ancients before Classical Greece noticed that when an mule/donkey was tied to a centre pole (the radius) and was driven around the pole in a circle to drive up water (circumference) there was a constant ; pi = 3.14.... e.g. diameter 'd' = 2r = 10 and circumference = 31.4 Then C constant of proportionality d Inserting the numbers 31.4 = constant X 10 constant = 31.4 / 10 = 3.14 This constant was named 'pi' ; the Classical Greek small case letter 'p', for proportionality. This constant held good for any circle of any size. Hence we have C = pi d => C = 3.14 d further calculations gave us the Area as A = pi r^2 => A = 3.14 r^2 'pi' is an Irrational number. Casually this means the decimals go to infinity and there is no regular order in the digits. Your calculator may show pi = 3.141592654, but this is only an approximation. # pi = 3.141592654... Supa /dupa computers have calculated 'pi' to several billions of places and still going.


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